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Finding the Fourth Proportional to 276,009.14, 414,013.20 and 86,484.02

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Solution

The fourth proportional to 276,009.14, 414,013.20 and 86,484.02 is: 129,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,009.14 : 414,013.20 = 86,484.02 : x
  2. Step 2: Convert to fraction form
    276,009.14/414,013.20 = 86,484.02/x
  3. Step 3: Cross multiply
    276,009.14x = 414,013.20 × 86,484.02
  4. Step 4: Simplify right side
    276,009.14x = 35,805,524,681.47
  5. Step 5: Solve for x
    x = 35,805,524,681.47/276,009.14
  6. Step 6: Final answer
    x = 129,725.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.